I wouldn't worry about the direction the moon is traveling. It's still traveling in the same direction it had be doing.

If the moon started traveling from north to south or south to north or west to east. Then still don't worry. Because the sun will be doing the same thing and we all would had survive the tilting of the earth.

Quoting: Kennethmd

This thread is not about worrying. We try to find out more about this phenomenon by comparing our observations, and find the reason if possible.